More by Guido Sweers

Abstract

Elliptic systems with noncooperative coupling in general do not preserve positivity. Here
it is shown that some systems of elliptic equations on $ \mathbb{R}^N$ with small
noncooperative coupling still have a restricted uniform positivity preserving property.
The proofs rely on optimal estimates for the Newtonian potential with weights and on
corresponding $3G$-type theorems.